On projections onto odometers of dynamical systems with the compact phase space
| dc.creator | Polulyakh, Eugene | |
| dc.date | 2003-02-15 | |
| dc.date.accessioned | 2026-07-07T04:55:19Z | |
| dc.date.available | 2026-07-07T04:55:19Z | |
| dc.description | We investigate projections to odometers (group rotations over adic groups) of topological invertible dynamical systems with discrete time and compact Hausdorff phase space. For a dynamical system $(X, f)$ with a compact phase space we consider the category of its projections onto odometers. We examine the connected partial order relation on the class of all objects of a skeleton of this category. We claim that this partially ordered class always have maximal elements and characterize them. It is claimed also, that this class have a greatest element and is isomorphic to some characteristic for the dynamical system $(X, f)$ subset of the set $Σ$ of ultranatural numbers if and only if the dynamical system $(X, f)$ is indecomposable (the space $X$ could not be decomposed into two proper disjoint closed invariant subsets). | |
| dc.description | 62 pages in LaTeX 2-e | |
| dc.identifier | https://arxiv.org/abs/math/0302181 | |
| dc.identifier | http://arxiv.org/abs/math/0302181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66536 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B05, 37B20 | |
| dc.title | On projections onto odometers of dynamical systems with the compact phase space | |
| dc.type | text |